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163814496 = 25310316567
BaseRepresentation
bin10011100001110…
…01110001100000
3102102020122020120
421300321301200
5313414030441
624131040240
74026254166
oct1160716140
9372218216
10163814496
118451828a
1246a40080
1327c27a71
1417a83236
15e5ac966
hex9c39c60

163814496 has 48 divisors (see below), whose sum is σ = 434214144. Its totient is φ = 54071424.

The previous prime is 163814491. The next prime is 163814501. The reversal of 163814496 is 694418361.

It is an interprime number because it is at equal distance from previous prime (163814491) and next prime (163814501).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163814491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1605 + ... + 18171.

It is an arithmetic number, because the mean of its divisors is an integer number (9046128).

Almost surely, 2163814496 is an apocalyptic number.

163814496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163814496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217107072).

163814496 is an abundant number, since it is smaller than the sum of its proper divisors (270399648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163814496 is a wasteful number, since it uses less digits than its factorization.

163814496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16683 (or 16675 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 163814496 is about 12799.0037112269. The cubic root of 163814496 is about 547.1639087376.

The spelling of 163814496 in words is "one hundred sixty-three million, eight hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1648 2472 3296 4944 9888 16567 33134 49701 66268 99402 132536 198804 265072 397608 530144 795216 1590432 1706401 3412802 5119203 6825604 10238406 13651208 20476812 27302416 40953624 54604832 81907248 163814496